Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

30th January 2026

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Circle Theorems2 marks
ABCD is a cyclic quadrilateral. Angle ABC is 87°. Work out angle ADC.
2
Probability Trees3 marks
A bag holds 7 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
4
Standard Form2 marks
Work out (7 x 10^4) x (5 x 10^6). Give your answer in standard form.
5
Changing the Subject of a Formula3 marks
Make x the subject of y = 8x^2 - 7.

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